Results 121 to 130 of about 36,597 (202)

Low regularity and local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system

Electronic Journal of Differential Equations, 2007
We prove that the Cauchy problem for the Dirac-Klein-Gordon system of equations in 1+3 dimensions is locally well-posed in a range of Sobolev spaces for the Dirac spinor and the meson field.
Achenef Tesfahun
doaj  

An additive-noise approximation to Keller-Segel-Dean-Kawasaki dynamics: local well-posedness of paracontrolled solutions. [PDF]

Stoch Partial Differ Equ
Martini A, Mayorcas A.
europepmc   +1 more source

Local Well-Posedness of the Skew Mean Curvature Flow for Small Data in d≧2 Dimensions. [PDF]

Arch Ration Mech Anal
Huang J, Tataru D.
europepmc   +1 more source

Local Well-Posedness of the Periodic Nonlinear Schrödinger Equation with a Quadratic Nonlinearity u ¯ 2 in Negative Sobolev Spaces. [PDF]

J Dyn Differ Equ
Liu R.
europepmc   +1 more source

Heterogeneous Mean Field Games and Local Well-posedness

Motivated by the recent interests in asymmetric mean field games, this paper provides a general framework of Heterogeneous Mean Field Game (HMFG) that subsumes different formulations of graphon mean field games. The key feature of the HMFG is that the players interact with the population through the density ensemble.
openaire   +2 more sources

Unconditional local well-posedness for periodic NLS

Unconditional local well-posedness for periodic NLS
Nonlinear Schrödinger equations with nonlinearities |u|²ᴷu on the d-dimensional torus are considered for arbitrary positive integers k and d. The solution of the Cauchy problem is shown to be unique in the class CₜH ˢₓ for a certain range of scale-subcritical regularities s, which is almost optimal in the case d ≥ 4 or k ≥ 2.
openaire  

Exponential stabilization and finite time blow-up in a fractional thermal piezoelectric beam with delay. [PDF]

Sci Rep
Ullah Z, Hao J, Thabet STM, Moulahi T.
europepmc   +1 more source

Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation. [PDF]

J Nonlinear Sci
Carrillo JA, Esposito A, Mikolás L.
europepmc   +1 more source

Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
Zimmermann P.
europepmc   +1 more source

Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]

Commun Math Phys
Oh T, Tolomeo L, Wang Y, Zheng G.
europepmc   +1 more source